A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 93% of patients taking the drug are healed within 8 weeks. In clinical trials, 215 of 229 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the α=0.05 level of significance.
A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than 93% of patients taking the drug are healed within 8 weeks. In clinical trials, 215 of 229 patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the α=0.05 level of significance.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
A certain drug can be used to reduce the acid produced by the body and heal damage to the esophagus due to acid reflux. The manufacturer of the drug claims that more than
93%
of patients taking the drug are healed within 8 weeks. In clinical trials,
215
of
229
patients suffering from acid reflux disease were healed after 8 weeks. Test the manufacturer's claim at the
α=0.05
level of significance.Because
sample size is
5% of the population size, and the sample
the requirements for testing the hypothesis
satisfied.
np01−p0=nothing
10,
the ▼
less than<
equals=
greater than>
not equals≠
▼
greater thangreater than
less thanless than
▼
cannot be reasonably assumed to be random,
is given to not be random,
is given to be random,
can be reasonably assumed to be random,
▼
are
are not
(Round to one decimal place as needed.)
What are the null and alternative hypotheses?
H0:
▼
sigmaσ
muμ
pp
▼
greater than>
not equals≠
equals=
less than<
H1:
▼
pp
sigmaσ
muμ
▼
less than<
equals=
greater than>
not equals≠
(Type integers or decimals. Do not round.)
Find the test statistic,
z0.
z0=nothing
(Round to two decimal places as needed.)Find the P-value.
P-value=nothing
(Round to three decimal places as needed.)Choose the correct conclusion below.
Reject
the null hypothesis. There
is insufficient
evidence to conclude that more than
93%
of patients taking the drug are healed within 8 weeks.Reject
the null hypothesis. There
is sufficient
evidence to conclude that more than
93%
of patients taking the drug are healed within 8 weeks.Expert Solution
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